What are the solutions of the equation 2 x squared equals 2? Use a graph of a related function whose roots answer the question.

Question

(1 point)
Responses

An upward facing parabola passes through points left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 0 comma negative 1 right parenthesis, and left parenthesis 1 comma 0 right parenthesis.
There are two solutions: x equals plus or minus 1
Image with alt text: An upward facing parabola passes through points left parenthesis negative 1 comma 0 right parenthesis, left parenthesis 0 comma negative 1 right parenthesis, and left parenthesis 1 comma 0 right parenthesis. There are two solutions: Image with alt text: x equals plus or minus 1

An upward facing parabola passes through points left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.
There are two solutions: x equals plus or minus 2
Image with alt text: An upward facing parabola passes through points left parenthesis negative 2 comma 0 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma 0 right parenthesis. There are two solutions: Image with alt text: x equals plus or minus 2

An upward facing parabola passes through points left parenthesis negative 2 comma 5 right parenthesis, left parenthesis 0 comma 1 right parenthesis, and left parenthesis 2 comma 5 right parenthesis.
There are no solutions.
Image with alt text: An upward facing parabola passes through points left parenthesis negative 2 comma 5 right parenthesis, left parenthesis 0 comma 1 right parenthesis, and left parenthesis 2 comma 5 right parenthesis. There are no solutions.

An upward facing parabola passes through points left parenthesis negative 2 comma 2 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma 2 right parenthesis.
There are two solutions: x equals plus or minus start root 2 end root
Image with alt text: An upward facing parabola passes through points left parenthesis negative 2 comma 2 right parenthesis, left parenthesis 0 comma negative 2 right parenthesis, and left parenthesis 2 comma 2 right parenthesis. There are two solutions: Image with alt text: x equals plus or minus start root 2 end root

Answer 1

An upward facing parabola passing through points (-1,0), (0,-1), and (1,0) represents the equation 2x^2 = 2. The solutions to this equation are x = ±1.